Standard and Vertex Forms

Standard and Vertex Forms

Assessment

Flashcard

Mathematics

10th - 11th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

2.

FLASHCARD QUESTION

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

3.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

4.

FLASHCARD QUESTION

Front

How can you identify the vertex of a parabola from its vertex form?

Back

In the vertex form y = a(x - h)² + k, the vertex is the point (h, k).

5.

FLASHCARD QUESTION

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, which is a U-shaped curve that can open upwards or downwards.

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = h in vertex form.

7.

FLASHCARD QUESTION

Front

How do you convert from standard form to vertex form?

Back

To convert from standard form y = ax² + bx + c to vertex form, you can complete the square.

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